Nick spent 2/3 of his money on games, the rest was spent on lunch. If lunch cost $10 how much money did he have at first?

Mathematics

1 answer:

Karolina [17]3 years ago

6 0

$30 is the answer to this promblem

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The rental fee for a bike is $10 plus $3 for each hour the bike is used. How much will it cost

ikadub [295]

Y=3x+10
10 represents the fee
X= amount of hours
3 is the cost per hour.

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2 years ago

at ralphs fruit stand 1/2 pound of grapes is 90 cents you ant to buy 5 pounds of grapes, how much will they cost? PART A: what a

Karolina [17]

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3 years ago

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

4 years ago

You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,

Lunna [17]

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

$X = 96, \mu = 72, \sigma = 12$